Equilateral Triangle Rotation Puzzle by David Wees

Equilateral Triangle Rotation Puzzle by David Wees
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2019-03-23 02:52
In collections Transformation Puzzles
This example demonstrates the dynamic rotation of an equilateral triangle around a point. It involves core mathematical concepts such as congruence, rotation, geometric transformations, isosceles triangles, tangent functions, and quadratic functions. The construction utilizes GeoGebra commands like Circle, Angle, Polygon, Vector, AngularBisector, Intersect, and Rotate. Suitable for high school mathematics education to understand the properties and geometric significance of rotational transformations.

GeoGebra Commands & Parameters

  1. Circle(G, 2) → c
  2. Angle(I, G, F) → angle_1
  3. Polygon(A, B, 3) → triangle, f, g, h, C
  4. Vector(G, F) → u
  5. Vector(G, I) → v
  6. AngularBisector(C, B, A) → i
  7. AngularBisector(C, A, B) → j
  8. Intersect(i, j) → O
  9. Rotate(triangle, angle°, O) → triangle'